Abstract
In the present Lecture, we study the motion of a single elasto-plastic body that represents a moving element of a structure or machine, where we present equations that are applicable to three-dimensional motions and bodies of arbitrary shape. We assume the displacements and strains of the body to be small with respect to a floating reference configuration, and we present the corresponding small-strain elasto-plastic-constitutive relations. We then point out the necessity of refined computational procedures for obtaining the plastic parts of strain in the case of a reversed loading, a problem often to be encountered in practice. In a Rayleigh-Ritz procedure, the flexible coordinates, which are coupled to the rigid-body degrees of freedom via the equations of motion, must be brought into connection with the plastic parts of strain. Often, the influence of the plastic parts of strain upon the motion of the body can not be neglected. We sketch an advantageous iterative numerical procedure for computing the plastic parts of strain, and we eventually discuss their influence upon the equations of motion in more detail.
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Gerstmayr, J., Irschik, H., Dibold, M. (2004). Computational Dynamics of an Elasto-Plastic Structural Element With Rigid-Body Degrees-of-Freedom. In: Irschik, H., Schlacher, K. (eds) Advanced Dynamics and Control of Structures and Machines. International Centre for Mechanical Sciences, vol 444. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2774-2_6
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DOI: https://doi.org/10.1007/978-3-7091-2774-2_6
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